Ploski's result gave the idea of the so-called the General Néron Desingularization, (see [1]}, [2]}, [3]}) which says that for special (that is regular) morphisms \(A\rightarrow A^{\prime }\)  of Noetherian rings any \(A \) -morphism \(v:B\rightarrow A^{\prime }\)  with \(B\)  a \(A\) -algebra of finite type, factors through a smooth \(A\) -algebra \(C\) , that is \(v\)  is a composite \(A\) -morphism \(B\rightarrow C\rightarrow A^{\prime }\) . This desingularization is constructive when \(\dim A=\dim A^{\prime }=1\)  (see [4]}, [5]}, [6]}).
